DLMF:33.5.E6 (Q9528): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: normalizing constant for Coulomb radial functions / rank
 
Normal rank
Property / Symbols used: normalizing constant for Coulomb radial functions / qualifier
 
test:

C ( η ) Coulomb-C 𝜂 {\displaystyle{\displaystyle C_{\NVar{\ell}}\left(\NVar{\eta}\right)}}

\normCoulombC{\NVar{\ell}}@{\NVar{\eta}}
Property / Symbols used: normalizing constant for Coulomb radial functions / qualifier
 
xml-id: C33.S2.E5.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11277 / rank
 
Normal rank
Property / Symbols used: Q11277 / qualifier
 
test:

!! double-factorial {\displaystyle{\displaystyle!!}}

!!
Property / Symbols used: Q11277 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r16.m7adec
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
test:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5adec

Latest revision as of 13:22, 2 January 2020

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DLMF:33.5.E6
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    Statements

    C ( 0 ) = 2 ! ( 2 + 1 ) ! = 1 ( 2 + 1 ) !! . Coulomb-C 0 superscript 2 2 1 1 double-factorial 2 1 {\displaystyle{\displaystyle C_{\ell}\left(0\right)=\frac{2^{\ell}\ell!}{(2% \ell+1)!}=\frac{1}{(2\ell+1)!!}.}}
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    C ( η ) Coulomb-C 𝜂 {\displaystyle{\displaystyle C_{\NVar{\ell}}\left(\NVar{\eta}\right)}}
    C33.S2.E5.m2abdec
    0 references
    !! double-factorial {\displaystyle{\displaystyle!!}}
    introduction.Sx4.p1.t1.r16.m7adec
    0 references
    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5adec
    0 references